Fractal Dynamics and Control of the Fractional Potts Model on Diamond-Like Hierarchical Lattices by Weihua Sun, Shutang Liu

“…The fractional Potts model on diamond-like hierarchical lattices is introduced in this manuscript, which is a fractional rational system in the complex plane. Then, the fractal dynamics of this model is discussed from the fractal viewpoint. …”
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Experimental Investigation of a Direct Methanol Fuel Cell with Hilbert Fractal Current Collectors by Jing-Yi Chang, Yean-Der Kuan, Shi-Min Lee

“…The Hilbert curve is a continuous type of fractal space-filling curve. This fractal curve visits every point in a square grid with a size of 2×2, 4×4, or any other power of two. …”
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Hermite–Hadamard- and Pachpatte-type integral inequalities for generalized subadditive functions in the fractal sense by Tingsong Du, Lei Xu

“…In particular, we put forward a refined version of the generalized Hermite–Hadamard-type inequalities in the framework of fractal space.…”
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Analysis of Nanostructures and Wettability of Marine Shale in Southern China, Based on Different Fractal Models by Yang Wang, Baoyuan Zhong, Yunsheng Zhang, Yanming Zhu, Meng Wang

Subjects: “…fractal model…”
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FractalNet-based key generation for authentication in Voice over IP using Blockchain by Vajjala Sreenivasulu, Chinthaginjala Ravikumar

Subjects: “…FractalNet…”
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An Investigation of Fractal Characteristics of Marine Shales in the Southern China from Nitrogen Adsorption Data by Jian Xiong, Xiangjun Liu, Lixi Liang

“…We mainly focus on the Permian, Lower Cambrian, Lower Silurian, and Upper Ordovician Formation; the fractal dimensions of marine shales in southern China were calculated using the FHH fractal model based on the low-pressure nitrogen adsorption analysis. …”
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Investigation of a Random-Fractal Antenna Based on a Natural Tree-Leaf Geometry by Hatem Rmili, Donia Oueslati, Imen Ben Trad, Jean Marie Floch, Abdullah Dobaie, Raj Mittra

“…In this paper, we investigate a new printed antenna based on the 2D image of a fractal tree-leaf geometry by studying the effect of the irregular boundary of the proposed antenna on its radiation characteristics. …”
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The fractal structure of limit set of solution space of a doubly periodic Ricatti equation by Ke-Ying Guan

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Effect of Shear Displacement on the Directivity of Permeability in 3D Self-Affine Fractal Fractures by Richeng Liu, Na Huang, Yujing Jiang, Hongwen Jing, Bo Li, Yuxuan Xia

“…The studied fracture surface has 3D self-affine fractal characteristics that are created using the modified successive random addition (SRA) method. …”
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Evaluating the stability and efficacy of fractal-fractional models in reproductive cancer apoptosis with ABT-737 by Kottakkaran Sooppy Nisar, M. Sivashankar, S. Sabarinathan, C. Ravichandran, V. Sivaramakrishnan

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A Method Combining Fractal Analysis and Single Channel ICA for Vibration Noise Reduction by Quanbo Lu, Mei Li

“…Aiming at the problem that real engineering vibration signals are interfered by strong noise, this paper proposes a method combining single channel-independent component analysis (SCICA) and fractal analysis (FD) to reduce the effect of noise on the time-frequency analysis of vibration signals. …”
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Determination of Gradation of Recycled Mixed Coarse Aggregates for Pavement Base or Subbase by Crushing Fractals by Jianjun Li, Yong Pei, Pengcheng Xu, Hui Chang

“…On this basis, the fractal dimension of recycled mixed coarse aggregates is determined by the crushing test, and the gradation of recycled mixed coarse aggregates for pavement base or subbase is then determined by fractal dimension. …”
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Resonant Frequency Calculation and Optimal Design of Peano Fractal Antenna for Partial Discharge Detection by Jian Li, Changkui Cheng, Lianwei Bao, Tianyan Jiang

“…The approximate formula for calculating the first resonant frequency of the Peano fractal antenna is presented. The results show that the first resonant frequency of the Peano fractal antenna is smaller than the Hilbert fractal antenna when the outer dimensions are equivalent approximately. …”
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A Fractal Contact Model for Rough Surfaces considering the Variation of Critical Asperity Levels by Yong Liu, Haodong Guo, Zhiying Chen, Kunying Ding, Min Dan, Baichun Li, Fangchao Yan

“…A contact model for rough surfaces based on the fractal theory is proposed in the present work. Firstly, the deformation of the material is divided into four stages: elastic deformation, the first elastoplastic deformation, the second elastoplastic deformation, and full plastic deformation. …”
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A New Approach for Calculation of Metamaterial Printed Fractal Antenna Using Galerkin’s Method by Amjad S. Saedy, Al-Samawal. Saleh, Sadiq. Ali

“…This work provides a new approach for computing the impedance of a proposed multiband printed fractal antenna for wireless applications. Galerkin’s method is applied to deduce the impedance relationship of the proposed structure and then compute the return loss verses frequency by converting the impedance matrix of the proposed antenna [Z] to the scattering matrix [S]. …”
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Modified Minkowski Fractal Unit Cell for Reflectarrays with Low Sensitivity to Mutual Coupling Effects by Sandra Costanzo, Francesca Venneri, Giuseppe Di Massa

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Using a Novel Fractal-Time-Series Prediction Model to Predict Coal Consumption by Guodang Zhao, Xuyang Guo, Xin Wang, Dezhi Zheng

“…The main purpose of this study is to develop a new fractal time-series prediction (FTSP) model to predict coal consumption, providing reference for formulating effective energy consumption planning and economic development strategies. …”
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Nonlinearity and Fractal Properties of Climate Change during the Past 500 Years in Northwestern China by Shiquan Wan, Qunqun Liu, Jianxin Zou, Wenping He

“…By using detrended fluctuation analysis (DFA), the present paper analyzed the nonlinearity and fractal properties of tree-ring records from two types of trees in northwestern China, and then we disclosed climate change characteristics during the past 500 years in this area. …”
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A Multiscale Fractal Approach for Determining Cushioning Curves of Low-Density Polymer Foams by Mariela C. Bravo-Sánchez, Luis M. Palacios-Pineda, José L. Gómez-Color, Oscar Martínez-Romero, Imperio A. Perales-Martínez, Daniel Olvera-Trejo, Jorge A. Estrada-Díaz, Alex Elías-Zúñiga

Subjects: “…fractal cushioning packaging model…”
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Fractal Study on the Failure Evolution of Concrete Material with Single Flaw Based on DIP Technique by Lulin Zheng, Hao Liu, Yujun Zuo, Quanping Zhang, Wei Lin, Qing Qiu, Xiaorong Liu, Ziqi Liu

“…In the early stages of loading, the AE energy is minimal, and increases rapidly when approaching the peak stress. The fractal dimension was used to describe the damage evolution process inside the material, and a damage variable index (ω) based on the fractal theory was proposed. …”
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